Honors Algebra 2 Unit 1 Test - Winston-Salem/Forsyth ...



Honors Algebra 2: Algebraic Skills Review

UNIT 1 – BASIC EQUATIONS, INEQUALITIES, and FUNCTIONS

Solve for Exact Solutions: Basic Equation or Inequality.

1. [pic]

2. [pic]

3. [pic]for y.

4. [pic]

5. [pic]

6. [pic]

7. [pic] for n

For #10 – 16, Use functions:

[pic] [pic] [pic]

10. [pic]

11. [pic]

12. [pic]

13. [pic]

14. [pic]

15. [pic]

16. [pic]

UNIT 2 - RADICAL EQUATIONS: Find EXACT SOLUTIONS and check extraneous.

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2) [pic]

3) [pic]

4) [pic]

5) [pic]

6) [pic]

7) [pic]

8) [pic]

9) [pic]

UNIT 3: Quadratics

SOLVING QUADRATIC EQUATIONS AND INEQUALITIES

• Completing the Square, Factoring, Quadratic Formula

1) [pic]

2) [pic]

3) [pic]

4) [pic]

5) [pic]

6) [pic]

7) [pic]

8) 2x2 – x – 13 < x2 + 2x – 3

9) x2 + 2x – 35 < 0

10) x2 – 16 > 0

11) 2x2 + 2x > 0

12) –x2 + 15 > 2x

UNIT 4: U – Substitution, Synthetic Division, Rational Equations

Solve equations by U-Substitution

1) 2m4 = 3m2 + 5

2) 3m + m1/2 – 2 = 0

3) y5 – 3y3 + 2y = 0

4) x1/2 – 6x1/4 + 8 = 0

SYNTHETIC DIVISION - Find all zeros to the polynomial given the initial factor:

1) [pic]

2) [pic]

3) [pic]

4) [pic]

SOLVE RATIONAL EQUATIONS: Find all EXACT solutions

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2) [pic]

3) [pic]

4) [pic]

5) [pic]

6) [pic]

7) [pic]

8) [pic]

UNIT 5 - EXPONENTIAL or LOGARITHMIC equation/inequality:

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2) [pic]

3) [pic]

4) [pic]

5) [pic]

6) [pic]

7) [pic]

8) [pic]

9) [pic]

10) [pic]

11) [pic]

12) [pic]

13) [pic]

14) [pic]

UNIT 6 - SYSTEMS

Use SUBSTITUTION or ELIMINATION TO SOLVE SYSTEMS

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2) [pic]

3) [pic]

4) [pic]

5) [pic]

6) [pic]

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8) [pic]

9) [pic]

10)

UNIT 7 - TRIG RATIOS (Triangle or Unit Circle):

Find the exact value (UNIT CIRCLE ).

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4. [pic] 5. [pic] 6. [pic]

Find the value of the other 5 trig. functions.

9. [pic] ; [pic] lies in IV.

10. [pic]and [pic]

11. [pic]and [pic]

12. [pic]and [pic]

Complete the triangles for the all missing sides and angles (Round to two decimals)

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A

Z

10

d

F

D

e

E

50º

y

8

c

7

35 º

X

10

Y

a

C

B

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